MONODROMY AND PFAFFIAN OF LAURICELLA^|^apos;S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS
Keiji Matsumoto · Kyushu Journal of Mathematics · 2013
We give the monodromy representation and the Pfaffian system of Lauricella's differential equations annihilating the hypergeometric series FD(a,b,c; x) of multivariables. Our representation spaces are twisted homology and cohomology groups associated with integrals representing solutions. Without assigning bases to these groups, we express circuit transformations and components of the connection form in terms of the intersection form of the twisted (co)homology groups. Each of them is characterized by an eigenvector of it.